Begin with a quote: "mathematicians have gone from curves to functions, from geometry to algebra, and from intuition to cold, clear logic." (page 220). That line, from the Afterword, sums up the content of this exposition. I highlight Dunham's expository skills, almost second-to-none, his book is a delight to peruse. Read: "by 1880, integration had come to be regarded primarily as the inverse of differentiation, occupying a secondary position in the pantheon of mathematical concepts." (page 86). Now, Cauchy disagreed: "he believed the integral must have an independent existence." Thus, if you never get anything else from calculus, Cauchy is the name to remember ! Pay attention, physicists !(1) Of late, there has been a happy increase in the quality and quantity of mathematics books which pay some attention to the evolution of the subject. Dunham was instrumental in getting us there ! Textbooks advocating this approach now abound: Bressoud's Radical Approach to Real Analysis, Hairer and Wanner's Analysis By Its History and Stahl's Real Analysis. Those textbooks are for the classroom. Dunham does not claim to be such a classroom text (for example, there are no exercises). Dunham is motivator, an instance, motivating the oft-utilized "integration-by-parts" formula, here Leibniz is guide (page 29).(2) An overarching guidepost in his evolutionary reading of calculus (and one I find utterly fascinating) is a reinforcing of the "separation of calculus from geometry." Learn of Weierstrass' function: "lies somewhere beyond the intuition, far removed from geometrical diagrams..." (page 148). A parallel thread, yet another guide, is an escape from curves and simple formulas to arbitrary functions. Read: "generality lies at the heart of modern analysis." (page 116).(3) About proofs: As is well-known, you won't get far beyond elementary mathematics (manipulative skill) without understanding mathematical proof. It is here that Dunham's expository skills excel. Find Cauchy's verbal description (of limits, page 129) followed by Weierstrass' uniform convergence, learn: "these ideas appear throughout the remainder of the book." (page 137). Seeing, how "intuition misleads." You utilize the "triangle inequality" (for example, page 144). Baire is the most difficult encounter herein (page 191).(4) Consider that Cantor and Dedekind's approach was "the final step in the separation of calculus from geometry." (page 161). It is well worth revisiting Dunham's recapitulation of "completeness," that is, four incarnations found here (pages 159 & 160). Finally, Lebesgue recapitulates the "fundamental theorem of calculus" (Dunham: "back in all its glory" page 218) which is met in different guise throughout. Learn to appreciate inequalities (page 130). Again: "lacks the charm of intuition and the immediacy of geometry." (5) In conclusion: Dunham has written a thoughtful book detailing an evolution of calculus. There are end notes to lead the reader elsewhere (yet, no bibliography). The index is three pages (you will not find the word "sequence"). Those minor quibbles aside, you get a lovely excursion into analysis, worth the effort.